The angle of depression of two cars on the road in line with base of an electricity pole 120m high are 18° and 65° respectively. Find the distance between the cars

Answer 1

Let the distance between the two cars be x.

From the information given, we can create a right triangle for each car with the base of the electricity pole:

For the first car:
tan(18°) = 120 / x
x = 120 / tan(18°)
x ≈ 353.55 m

For the second car:
tan(65°) = 120 / (x + 353.55)
x + 353.55 = 120 / tan(65°)
x ≈ 120 / tan(65°) - 353.55
x ≈ 33.66 m

Therefore, the distance between the two cars is approximately 33.66 meters.